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13147392 = 283171953
BaseRepresentation
bin110010001001…
…110100000000
3220201221211110
4302021310000
511331204032
61145443320
7216515406
oct62116400
926657743
1013147392
11746a915
1244a0540
13295432b
141a63476
15124a7cc
hexc89d00

13147392 has 144 divisors (see below), whose sum is σ = 39735360. Its totient is φ = 3833856.

The previous prime is 13147369. The next prime is 13147397. The reversal of 13147392 is 29374131.

Its product of digits (4536) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13147397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248038 + ... + 248090.

It is an arithmetic number, because the mean of its divisors is an integer number (275940).

Almost surely, 213147392 is an apocalyptic number.

13147392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13147392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19867680).

13147392 is an abundant number, since it is smaller than the sum of its proper divisors (26587968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13147392 is a wasteful number, since it uses less digits than its factorization.

13147392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 13147392 is about 3625.9332591762. The cubic root of 13147392 is about 236.0187670607.

The spelling of 13147392 in words is "thirteen million, one hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 53 57 64 68 76 96 102 106 114 128 136 152 159 192 204 212 228 256 272 304 318 323 384 408 424 456 544 608 636 646 768 816 848 901 912 969 1007 1088 1216 1272 1292 1632 1696 1802 1824 1938 2014 2176 2432 2544 2584 2703 3021 3264 3392 3604 3648 3876 4028 4352 4864 5088 5168 5406 6042 6528 6784 7208 7296 7752 8056 10176 10336 10812 12084 13056 13568 14416 14592 15504 16112 17119 20352 20672 21624 24168 28832 31008 32224 34238 40704 41344 43248 48336 51357 57664 62016 64448 68476 82688 86496 96672 102714 115328 124032 128896 136952 172992 193344 205428 230656 248064 257792 273904 345984 386688 410856 547808 691968 773376 821712 1095616 1643424 2191232 3286848 4382464 6573696 13147392